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Neutrosophic and Information Fusion

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Online: 2836-7863
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

Neutrosophic and Information Fusion
Full Length Article

Volume 5Issue 1PP: 15–24 • 2025

Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification

Samandarboy Sulaymanov 1* ,
Maha Ibrahim 1
1Tashkent state university of economics, Uzbekistan
* Corresponding Author.
Received: December 31, 2024 Accepted: February 28, 2025

Abstract

Multi-source decision systems require a representation in which supportive evidence, contradictory evidence, and weak evidence are not collapsed into the same numerical channel. This paper develops a dynamic reliability-kernel model for single-valued neutrosophic evidence fusion. Given a matrix of source signals, each source is transformed into a single-valued neutrosophic triplet whose truth, indeterminacy, and falsity memberships are governed by signed evidence strength. A time-varying reliability kernel then assigns larger mass to sources with lower recent instability, and a dispersion-augmented fusion operator produces a global neutrosophic state. The final decision rule is formulated as a penalized neutrosophic score and as a regularized probabilistic classifier over the fused triplet. The model is evaluated on a public weekly stock dataset containing six technology-market sources. The results show that the proposed representation achieves competitive chronological classification performance while providing explicit mathematical control over indeterminacy, disagreement, and reliability. Ablation and penalty-sensitivity analyses demonstrate that indeterminacy is a functional component of the decision model rather than a cosmetic label. The paper offers a reproducible mathematical framework for neutrosophic information fusion in uncertain intelligent decision-support systems.

Keywords

Single-valued neutrosophic sets Neutrosophic evidence fusion Reliability kernel Indeterminacy penalty Multi-source classification Uncertainty-aware decision support

References

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Sulaymanov, Samandarboy, Ibrahim, Maha. "Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification." Neutrosophic and Information Fusion, vol. Volume 5, no. Issue 1, 2025, pp. 15–24. DOI: https://doi.org/10.54216/NIF.050102
Sulaymanov, S., Ibrahim, M. (2025). Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification. Neutrosophic and Information Fusion, Volume 5(Issue 1), 15–24. DOI: https://doi.org/10.54216/NIF.050102
Sulaymanov, Samandarboy, Ibrahim, Maha. "Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification." Neutrosophic and Information Fusion Volume 5, no. Issue 1 (2025): 15–24. DOI: https://doi.org/10.54216/NIF.050102
Sulaymanov, S., Ibrahim, M. (2025) 'Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification', Neutrosophic and Information Fusion, Volume 5(Issue 1), pp. 15–24. DOI: https://doi.org/10.54216/NIF.050102
Sulaymanov S, Ibrahim M. Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification. Neutrosophic and Information Fusion. 2025;Volume 5(Issue 1):15–24. DOI: https://doi.org/10.54216/NIF.050102
S. Sulaymanov, M. Ibrahim, "Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification," Neutrosophic and Information Fusion, vol. Volume 5, no. Issue 1, pp. 15–24, 2025. DOI: https://doi.org/10.54216/NIF.050102
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